Question

from the diagram, calculate (a) Angle of incidence (b) Angle of refraction (c) Refractive index of X. ​

Answer 1

1. Angle of incidence=60°
2. Angle of refraction =30°
3. Refractive index=root3

Explanation:

Refractive index=sin (i)/sin (r)

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Answer 2

Answer of each part is given below .

Form the figure we can see :

The angle between the interface and the ray is given as 30 degree .

Now , we know angle of incidence is angle from the normal .

Therefore , angle of incident is , i = 90 - 30 = 60 degree.

Now , angle between the extension of incident ray and interface be 30 degree ( by vertical opposite angle ) .

Therefore , angle of refraction , r = 90 - ( 30 + 30 ) = 30 degree .

Now , we need to find the refractive index :

So , Refractive index ,

$R=\dfrac{sin \ }{sin\ r}\\\\R=\dfrac{sin \ 60^o}{sin\ 30^o}\\\\R=\sqrt 3$

Hence , this is the required solution .

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Ray optics

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